The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?

Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.

Answer:the answer to this is 16x -16y=5.

step by step explanation:.

4x+8y=24y=-12x+5

= 4x+13x+8y-24y=5.

16x - 16y =5.

Answer:

the y intercept is -13

Step-by-step explanation:

First of all we need the line equation so let's find it first :

y = mx + b

y = 2x + b

_______________________________

The line passes through point ( 8 , 3 ) which means if put 8 instead of x the y must equals to 3 :

2(8) + b = 3

16 + b = 3

b = 3 - 16

b = - 13

______________________________

Now we have the equation of the line :

y = 2x - 13

To find the y-intercept we just need to out 0 (zero ) instead of x ; Let's do it :

y = 2(0) - 13

y = 0 - 13

y = - 13

Thus the y-intercept = - 13

Answer:

53thst is the right. answer

Answer:

[tex]x = 24 \div 8 \\ x = 3[/tex]

I think it was c

Answer:

i think c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Mike= 240 boxes

Sarah= 120 boxes

Step-by-step explanation:

Mike and Sarah are packing boxes at a company

Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is

= 30×8

= 240

Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is

= 15×8

= 120

Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes

Answer:

C.

Step-by-step explanation:

We can use the distance formula to find the distance between the center of circle Q and point R, which is also the radius of the circle. Then, we can multiply this value by 2 to get the diameter of the circle.

Distance Formula:

The distance between two points with coordinates (x1, y1) and (x2, y2) is given by the formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the distance formula, we can find the radius of circle Q:

radius = sqrt((7 - 3)^2 + (1 - (-2))^2)

= sqrt(4^2 + 3^2)

= 5

Therefore, the diameter of the circle is:

diameter = 2 * radius

= 2 * 5

= 10

So, the length of the diameter of circle Q is 10 units.

Answer:

12 tablespoons

Step-by-step explanation:

because 3/4 of 16 tablespoons is 12

Answer:

6 Quarts of milk!

Step-by-step explanation:

Do 1.5 cups times 16 to get 24 cups. Then you covert cups to quarts to get an answer of 6. I hope this helped you, have a nice day!! :)

Answer:

[tex]12\frac{1}{5}[/tex] in

Step-by-step explanation:

That's the correct answer :)

Answer:

0, 2, 2 4 6 10 16 26 42 68 110

Step-by-step explanation:

=========================================================

Work Shown:

a1 = 3 = first term

d = 2 = common difference (since we add 2 to each term to get the next one)

Let's compute the nth term.

an = a1 + (n-1)*d

an = 3 + (n-1)*2

an = 3 + 2n-2

an = 2n+1

-----------------------

To check things so far, we can plug in something like n = 2

an = 2n+1

a2 = 2*2+1

a2 = 5

Showing that the 2nd term is 5, which matches with the sequence given to us

Let's check n = 3

an = 2n+1

a3 = 2*3+1

a3 = 7

That matches as well. I'll let you check the others.

-----------------------

Plug in n = 8 to find the 8th term

an = 2n+1

a8 = 2*8+1

a8 = 17

The eighth term is 17, which is the final answer.

-----------------------

You could extend out the given sequence by adding 2 each time until you reach the 8th term

3,5,7,9,11,13,15,17

Though this method is slow if you need to find say the 38th term

Answer:

17 is the answer for the value of the term in the arithmetic sequence using the above

Step-by-step explanation:

everything can be found in the picture

Answer:

Distance of slide = 80 feet. Angle between swing and slide = 30 degrees

Answer:

1 mile is longer than 365 yards

Step-by-step explanation:

there are 1,760 yards in a mile

Hi there!  

»»————-　★　————-««

I believe your answer is:

One mile.

»»————-　★　————-««  

Here’s why:  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

The measure of DC is 20ft.

Step-by-step explanation:

Because the problem states that BA=AC, AD becomes the bisector of angle BAC. This means that BD and DC must be the same length.

Answer:

2

Step-by-step explanation:

30/2 = 15

15/3 = 5

5/5 = 1

2 * 3 * 5 * y^4

6/2 = 3

3/3 = 1

3 * 2

14/2 = 7

7/7 = 1

2 * 7 * y

Only 2 appears in all the numbers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

In order to calculate the slope of a line, we must plot two points on the line.

One point will be [tex](-3,2)[/tex] and another point will be [tex](1,4)[/tex]

Then use the slope formula to identify the slope of the line.

[tex]m=\frac{y^1-y^2}{x^1-x^2}[/tex]

[tex]m=\frac{2-4}{-3-1}[/tex]

[tex]m=\frac{-2}{-4}[/tex]

[tex]m=\frac{2}{4}[/tex]

[tex]m=\frac{1}{2}[/tex]

The slope of the line is [tex]\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

You could do this step by step.

The first year is left alone: 90,000 kt

The second year is 90000 * 0.96 That represents a 4% reduction

Second year = 86400

Third year = 86400 * .96 = 82944

Fourth year = 82944 * 0.96 = 79626.24 Here's where you run into your first dilemma. What do you do with that 0.24? The answer is, you round it here, but leave it in your calculator.

Fourth year = 79626

Fifth year = 79626.24 * 0.96

Fifth year = 76441

Sixth year = 79626.1904 * 0.96

Sixth year = 73383.542

Sixth year = 73384

Of course once you have gone through all that, you could do it this way

Sixth year = 90000 * 0.96^(n - 1) = 73383.54 = 73384

Same answer both ways.

I'm going to leave the addition to you.

Sum = a* (r^(n) - 1)/ (r - 1)

Sum = 90000 * (0.96^5 - 1) / (0.96 - 1 ) = 415411 rounded. I think that's right, but check it out.

Answer:

short = 5, hypotenuse = 10

Step-by-step explanation:

In a 30-60-90 triangle, the long leg is x√3, the short leg is x, and the hypothenuse is 2x.

As the long leg is 5√3, we can see that x is 5. So, the short leg would be 5 and the hypothenuse would be 2x5, which is 10.

Answer:

We know that:

Factorize the expression for the area and find the missing side

Given:

Find l:

l = A/w

l = (x² + 10x + 21)/(x + 3) =

    (x + 3)(x + 7)/(x + 3 =

    x + 7

------------------------------

Given:

Find w:

w = A/l

w = (x² + 2x - 8)/(x + 4) =

      (x + 4)(x - 2)/(x + 4) =

      x - 2

Answer:

Step-by-step explanation:

2(6x² - 3) = 11x² - x

2*6x² - 2*3 = 11x² - x

12x² - 6 = 11x² -x

Subtract 11x² from both sides

12x² - 11x² - 6 = -x

x² - 6 = -x

x² + x - 6= 0

Sum =1

Product = -6

Factors =  3 , (-2)              { 3*(-2)  = -6   & 3 +(-2) = 1}

x² + 3x - 2x - 6 = 0

x(x + 3) - 2(x + 3)= 0

(x +3)(x - 2) = 0

Answer:

two numbers are 29 and 17

Step-by-step explanation:

let the number be x

12+x+x=46

2x=46-12

x=34/2

x=17

another number is 12+x

12+17

29

Answer:

D. [tex]\sqrt{333}[/tex]

Step-by-step explanation:

To solve the problem, we can use the distance formula which is:

[tex]\sqrt{(x_{1} -x_{2} )^2+(y_{1}- y_{2} )^2}[/tex]

We can substitute the points (-7, 6) and (-4, -12):

[tex]\sqrt{(-7-[-4])^2+(6-[-12])^2} \\\sqrt{(-3)^2+(18)^2} \\\sqrt{9+324} \\\sqrt{333}[/tex]

Answer:

Yeah 10

Step-by-step explanation:

40 will give her more

Answer:

43p + 2

Step-by-step explanation:

Product of p and 43 = 43p

2 added to the product of p and 43 = 43p + 2

Answer:

Step-by-step explanation:

The product of a number p and 43 means

p * 43 = 43p

And 2 added to the product gives;

43p + 2

However; the expression is 43p + 2.

Answer:

C. A histogram

Step-by-step explanation:

Histograms are commonly used to denote the frequency of a range of categories of a set of values. Generally, the y-axis represents frequency and the x-axis represents intervals of data based on the given set of values.

Answer:

Slope = -2/3

Step-by-step explanation:

Slope = change in y / change in x OR the rise/run

Slope = (5 - 1)/(-3 -3)

Slope = 4/-6

Slope = -2/3

Hope this helped!

Solution :

As we know that,

We have :

Substituting the values :

[tex] \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{1 \: - \: 5 }{3 \: - \: ( - 3)} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{1 \: - \: 5 }{3 \: + \: 3} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{ - 4}{6} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \cancel\dfrac{ - 4}{6} } \\ \\ \longmapsto \: \bf{ \orange{Slope \: (m) \: = \: \dfrac{ - 2}{3} }}[/tex]

Answer: it looks correct to me!!!

Look at the attached picture above

(just from the top half, then apply this same thing to the rotated/reflected bottom half)

Answer:

20 + 15x

Step-by-step explanation:

The initial fee is $20, and the monthly fee is $15. x is the amount of months, so f(x) = 20 + 15x